Let the two numbers be x and y
x + y = 5(x-y)
x + y = 5x -5y
6y = 4x
x= (6/4)y
x= (3/2)y
there the ratio is 3/2
If we know the concepts of transformations and <em>horizontal</em> translation and that f(x) = √x and k = - 2, then the <em>transformed</em> function is g(x) = √(x + 2).
<h3>How to determine the transformed function in terms of its parent function</h3>
The transformation of functions are operations which modify the relationship between input and outputs in a function. The <em>parent</em> function represents a <em>canonical square root</em> function and the <em>transformed</em> function is the consequence of applying a <em>horizontal</em> translation.
This kind of transformation is defined by the following expression:
g(x) = f(x - k) (1)
Where k represents a <em>rightward</em> translation for k > 0.
If we know that f(x) = √x and k = - 2, then the <em>transformed</em> function is g(x) = √(x + 2).
To learn more on transformations: brainly.com/question/11709244
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Answer:
False
Step-by-step explanation:
The triangles are similar because the angles are the same
We know nothing about the side lengths, so we can say nothing about concurrency. They may or may not be congruent.
Answer:
68.17m
Step-by-step explanation:
Please see attached a rough sketch of the scenario
Step one:
Given data
Height of victim= 4.5ft
The horizontal distance of the snipper from the building = 780ft
The angle of elevation= 5 degrees
Required
The vertical distance
The opposite= the vertical distance
789 ft = the adjacent
Step two:
Applying SOH CAH TOA
tan ∅= opp/adj
tan 5= opp/780
cross multiply we have
0.0874= opp/780
cross multiply we have
0.0874*780= opp
opp= 68.17m
The sniper shoots from a vertical distance of 68.17m
